What is the Least Common Multiple of 95678 and 95687?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 95678 and 95687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95678 and 95687, than apply into the LCM equation.

GCF(95678,95687) = 1
LCM(95678,95687) = ( 95678 × 95687) / 1
LCM(95678,95687) = 9155140786 / 1
LCM(95678,95687) = 9155140786

Least Common Multiple (LCM) of 95678 and 95687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95678 and 95687. First we will calculate the prime factors of 95678 and 95687.

Prime Factorization of 95678

Prime Factorization of 95687

Now multiplying the highest exponent prime factors to calculate the LCM of 95678 and 95687.

LCM(95678,95687) = 2¹ × 11¹ × 4349¹ × 103¹ × 929¹
LCM(95678,95687) = 9155140786